Least Common Multiple of 918/82, 282/91, 908/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 918/82, 282/91, 908/969 quickly i.e. 19588284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 918/82, 282/91, 908/969 is 19588284.

LCM(918/82, 282/91, 908/969) = 19588284

LCM of 918/82, 282/91, 908/969

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 918/82,282/91,908/969

Given numbers are 918/82,282/91,908/969

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 918,282,908

Least Common Multiple of Numerators i.e. LCM of 918,282,908 is 19588284.

GCF of Denominators means GCF of 82,91,969 as per the given fractions.

GCF of 82,91,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 918,282,908

LCM of Fractions 918/82,282/91,908/969 is 19588284

2 918, 282, 908
3 459, 141, 454
153, 47, 454

∴ So the LCM of the given numbers is 2 x 3 x 153 x 47 x 454 = 19588284

Least Common Multiple of 918,282,908 with GCF Formula

Least Common Multiple of 918,282,908 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 918,282,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,282,908) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(918,282,908) x common factors =2 x 6 = 12

LCM(918,282,908) = ( 918 × 282 × 908 ) / 12

LCM(918,282,908) = 235059408 / 12

LCM(918,282,908) = 19588284


Lets's calculate GCF of 82,91,969

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19588284/1

Therefore the LCM of Fractions 918/82,282/91,908/969 is 19588284

Greatest Common Factor of 82,91,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,91,969 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 82,91,969 . The biggest common factor number is the GCF number.
So the greatest common factor 82,91,969 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 918/82, 282/91, 908/969

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 918/82, 282/91, 908/969?

Answer: LCM of Numerators as per given numbers 918/82, 282/91, 908/969 is

LCM of Numerators i.e. for 918,282,908 is 19588284

GCF of denominators i.e. for 82,91,969 is 1.

Thus, LCM of Fractions is 19588284.Finally, LCM of Fractions for 918/82, 282/91, 908/969 is 19588284.